6(3-4x)=5-2(3-x)

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Solution for 6(3-4x)=5-2(3-x) equation:


Simplifying
6(3 + -4x) = 5 + -2(3 + -1x)
(3 * 6 + -4x * 6) = 5 + -2(3 + -1x)
(18 + -24x) = 5 + -2(3 + -1x)
18 + -24x = 5 + (3 * -2 + -1x * -2)
18 + -24x = 5 + (-6 + 2x)

Combine like terms: 5 + -6 = -1
18 + -24x = -1 + 2x

Solving
18 + -24x = -1 + 2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2x' to each side of the equation.
18 + -24x + -2x = -1 + 2x + -2x

Combine like terms: -24x + -2x = -26x
18 + -26x = -1 + 2x + -2x

Combine like terms: 2x + -2x = 0
18 + -26x = -1 + 0
18 + -26x = -1

Add '-18' to each side of the equation.
18 + -18 + -26x = -1 + -18

Combine like terms: 18 + -18 = 0
0 + -26x = -1 + -18
-26x = -1 + -18

Combine like terms: -1 + -18 = -19
-26x = -19

Divide each side by '-26'.
x = 0.7307692308

Simplifying
x = 0.7307692308

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